Answer:
H0: μ ____ ≤ 31
H1: μ ____ > 31
The z-test statistic is ____ 0.0369
The critical z-score(s) is(are) ____ ± 2.33
Because the test statistic _____________ falls within the critical values,
______do not reject, the null hypothesis.
Step-by-step explanation:
We want to find that the average class size is 31 or less so we set up our hypothesis as
H0: μ ____ ≤ 31
H1: μ ____ > 31 One tailed test
Here
Sample size = n= 40
Sample mean = x`= 33.1
Standard Deviation = σ= 9
Level of significance=∝= 0.01
The z-test statistic is ____ 0.0369
z= x`- u/σ/√n
z= 33.1-31/9/√40
z= 2.1/56.92099= 0.03689= 0.0369
Z∝ for one tailed test for 0.01 significance level is ± 2.33
The critical z-score(s) is(are) ____ ± 2.33
Since the calculated value falls in the acceptance region we accept H0: μ ≤ 31 and reject alternate hypothesis H1: μ > 31.
Because the test statistic _____________ falls within the critical values,
______do not reject, the null hypothesis.
